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1145512440 = 2332510330893
BaseRepresentation
bin100010001000111…
…0010000111111000
32221211111001122200
41010101302013320
54321222344230
6305400150200
740246460262
oct10421620770
92854431580
101145512440
115386804a6
1227b768360
13153427617
14ac1c8b32
156a876160
hex444721f8

1145512440 has 96 divisors (see below), whose sum is σ = 3759181920. Its totient is φ = 302494464.

The previous prime is 1145512439. The next prime is 1145512457. The reversal of 1145512440 is 442155411.

1145512440 is a `hidden beast` number, since 1 + 145 + 512 + 4 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21634 + ... + 52526.

It is an arithmetic number, because the mean of its divisors is an integer number (39158145).

Almost surely, 21145512440 is an apocalyptic number.

1145512440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145512440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879590960).

1145512440 is an abundant number, since it is smaller than the sum of its proper divisors (2613669480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1145512440 is a wasteful number, since it uses less digits than its factorization.

1145512440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31013 (or 31006 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 1145512440 is about 33845.4197787529. The cubic root of 1145512440 is about 1046.3250028664.

Adding to 1145512440 its reverse (442155411), we get a palindrome (1587667851).

The spelling of 1145512440 in words is "one billion, one hundred forty-five million, five hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 103 120 180 206 309 360 412 515 618 824 927 1030 1236 1545 1854 2060 2472 3090 3708 4120 4635 6180 7416 9270 12360 18540 30893 37080 61786 92679 123572 154465 185358 247144 278037 308930 370716 463395 556074 617860 741432 926790 1112148 1235720 1390185 1853580 2224296 2780370 3181979 3707160 5560740 6363958 9545937 11121480 12727916 15909895 19091874 25455832 28637811 31819790 38183748 47729685 57275622 63639580 76367496 95459370 114551244 127279160 143189055 190918740 229102488 286378110 381837480 572756220 1145512440